Answer:
There were total 2900 seats in the theater.
Step-by-step explanation:
Given that:
Seats filled by students = 1247 seats
Vacant seats = 57%
Total percentage of seats = 100%
Percentage of seats filled by students = (100-57)%
Percentage of seats filled by students = 43%
Let,
x be the total number of seats.
43% of x = 1247
[tex]\frac{43}{100}x=1247\\0.43x=1247[/tex]
Dividing both sides by 0.43
[tex]\frac{0.43x}{0.43}=\frac{1247}{0.43}\\x=2900[/tex]
Hence,
There were total 2900 seats in the theater.
